Numerical simulation of coarsening in binary solder alloys

Please always quote using this URN: urn:nbn:de:0296-matheon-12581
  • Coarsening in solder alloys is a widely accepted indicator for possible failure of joints in electronic devices. Based on the well-established Cahn--Larch\'e model with logarithmic chemical energy density (see, e.g., Dreyer and Mueller 2001), we present a numerical environment for the efficient and reliable simulation of coarsening in binary alloys. Main features are adaptive mesh refinement based on hierarchical error estimates, fast and reliable algebraic solution by multigrid and Schur--Newton multigrid methods, and the quantification of the coarsening speed by the temporal growth of mean phase radii. We provide a detailed description and a numerical assessment of the algorithm and its different components, together with a practical application to a eutectic AgCu brazing alloy.

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Metadaten
Author:Carsten Gräser, Ralf Kornhuber, Uli Sack
URN:urn:nbn:de:0296-matheon-12581
Referee:Peter Deuflhard
Language:English
Date of first Publication:2013/11/01
Institute:Freie Universität Berlin
MSC-Classification:65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M55 Multigrid methods; domain decomposition
65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Preprint Number:1041

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